A new construction of two-dimensional arrays with the window property

Denes J.; Keedwell A.D.

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A new construction of two-dimensional arrays with the window property

机译：具有window属性的二维数组的新构造

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It is shown how row-complete Latin squares and Tuscan squares can be used to construct nonbinary 1-D and 2-D arrays that have the u*v horizontal and/or vertical window property for all sufficiently large windows. It is shown how binary arrays with a similar property can be derived. Since an array can only be a perfect map for one particular size of window, the arrays that are constructed are not perfect but nevertheless have several practical applications, among others in connection with the coding and transmission of pictures. The method is deterministic rather than stochastic, and the arrays derived contain an effectively random selection of the windows of each relevant size.

机译：它显示了如何使用行完整的拉丁方和托斯卡纳方来构造非二进制的一维和二维数组，这些数组对于所有足够大的窗口都具有u * v水平和/或垂直窗口属性。它显示了如何导出具有相似属性的二进制数组。由于阵列对于一个特定尺寸的窗口只能是一个完美的映射，因此构造的阵列不是完美的，但是在图像的编码和传输方面还有许多实际应用。该方法是确定性的而不是随机的，并且派生的数组包含每个相关大小的窗口的有效随机选择。

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《IEEE Transactions on Information Theory》 |1990年第4期|P.873-876|共4页
作者
Denes J.; Keedwell A.D.;
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正文语种 eng
中图分类无线电电子学、电信技术;
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A new construction of two-dimensional arrays with the window property

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